In the National Survey on Drug Use and Health, one of the questions asked is about illicit drug use by Americans age 18 to 25 years (www.samhsa.gov/data/NSDUH/2k10NSDUH/2k10Results.htm#Fig2-7). On the assumption that the data were based on random samples of 3600 people in each of the years 2008 to 2010, the percentages reported in the survey would yield the numbers given in the following table.

Test at a 1% significance level whether the proportion of Americans age 18 to 25 years who used illicit drugs is the same in each of the three years 2008 to 2010.

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Used Illicit Drugs 2009 763 2894 2837 2826 2008 2010 Yes No 706 774